At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink?

Answers

Answer 1

Answer:

$3.8

Step-by-step explanation:

What is the cost of a medium drink?

Let medium drinks = x

Large popcorn = y

At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85.

2x + y = 13.85...Equation 1

y = 13.85 - 2x

At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90.

3x + 2y = 23.90.... Equation 2

Substitute y = 13.85 - 2x

3x + 2(13.85 -2x) = 23.90

3x + 27.7 - 4x = 23.90

3x - 4x = 23.90 - 27.7

-x = -3.8

x = $3.8

Since x = medium drink, the cost of a medium drink = $3.8


Related Questions

Can someone help me with this

Answers

Answer:

(-8;11] is the range of the graph

Dose y = 7.2x represent a proportional relationship, if so identify the constant of proportionality. If not, explain why not.

Answers

Answer:

Yes it does

The constant of proportionality is 7.2

Step-by-step explanation:

Here, we are to determine if the expression represents a proportionality relationship

From the question, we can see that this is so

If we placed x beneath y, we will have

y/x = 7.2

So therefore the ratio between the two is 7.2 and thus, the equation represents a proportional relationship

Ants have 6 legs. Elena and Andre write equations showing the proportional relationship between the number of ants, , to the number of ant legs . Elena writes a= 6L and Andre writes l=1/6a . Do you agree with either of the equations? Explain your reasoning.

Answers

Answer: Elena would be the correct answer

Step-by-step explanation: since ants have 6 legs and have 1 body we know that there are 6 legs for every 1 ant. hope this helps

Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). What are the coordinates of point B?

Answers

Step-by-step explanation:

Let (x, y) be the coordinates of point B.

(4, 6) => (-2, 4) => (x, y)

We have 2(-2) = 4 + x and 2(4) = 6 + y.

Solving these, we get x = -8 and y = 2.

Hence the coordinates of point B is (-8, 2).

Point Q is the midpoint of AB. Q has coordinates of (-2, 4) and A has coordinates of (4,6). Hence the coordinates of point B will be (-8, 2).

What are the coordinates of the midpoint of the line segment AB?

Suppose we've two endpoints of a line segment as:

A (p,q), and B (m,n)

Then let the midpoint be M(x,y) on that line segment.

Then, its coordinates are:

[tex]x = \dfrac{p+m}{2}[/tex]

and

[tex]y = \dfrac{q+n}{2}[/tex]

Let (x, y) be the coordinates of point B.

Q has coordinates of (-2, 4).

A has coordinates of (4,6).

A (p,q) = (4, 6)

M(x,y)=  (-2, 4)

B = (x, y)

We have

2(-2) = 4 + x

2(4) = 6 + y.

Solving these, we get

x = -8 and y = 2.

Hence the coordinates of point B will be (-8, 2).

Learn more about midpoint here;

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what is the solution to the system of equations graphed below

Answers

Answer:

A. (-2, 1)

General Formulas and Concepts:

Algebra I

Solving systems of equations by graphing

Step-by-step explanation:

Our solution set is where the 2 equations intersect. According the the graph, the systems intersect at point (-2, 1). Therefore, our answer must be A.

Answer is:

A.

(-2, 1)

Pls help really fast I don't know this!!!!!

Answers

I think it's (3,4) but I am not confident so please be understanding

Answer:

(3, 1 )

Step-by-step explanation:

The centre of the circle is at the midpoint of the diameter.

Given endpoint (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (9, 7) and (x₂, y₂ ) = (- 3, - 5 ) , then

midpoint = ( [tex]\frac{9-3}{2}[/tex], [tex]\frac{7-5}{2}[/tex] ) = ( [tex]\frac{6}{2}[/tex], [tex]\frac{2}{2}[/tex] ) = (3, 1 )

Thus centre of circle = (3, 1 )

Please help me out!!!!!

Answers

Answer:

To find a degree 3 equation you must find and take the roots.You have the roots at x=0 Now plug those into the equation for example: (x-4) would result in x1=4Hope this helps!

write and equation of the line below ​

Answers

Answer:

y = 1/4x + 0 or just y = 1/4x

Step-by-step explanation:

First I need the slope so I look at the dots and see how much boxes it goes up and then to the side. So it’s up 2 to the side 8. The slope would be 2/8 but you can simply it by 2 and you get 1/4. And the y intercept is given its zero.

Mirah has breakfast at a reaturant. She leaves an 20% tip of $1.80

Answers

Answer:

.36

Step-by-step explanatio

I’ll mark as BRANLIEST!!!

45 POINTS!!!

I need help with both questions plz help god loves you all.

Answers

Answer:

43

-161

Step-by-step explanation:

43

-161

you’re welcome:))

Select all the angle measurements that are correct

g=24,

h=24,

f=151,

g=29,

b=132,

h=19

Answers

Answer:

a = 132

b = 132

d = 29

e = 29

f = 151

g = 24

h = 24

I need help with this​

Answers

Step-by-step explanation:

income income earned working 5 hours is $50

She’ll earn $50 in 5 hours

equation
horizontal asymptote
vertical asymptote

Answers

Answer:

Hello,

In order to determine which is the horizontal asymptote remember that the horizontal is always x= something and remember that horizontal is straight from left to right.

So Horizontal asymptote = 2

For vertical asymptote it goes from the bottom of the graph, directly up. Think about it like this, you stand upright...or vertically right? So the vertical asymptote is

y= 0

Rate positively and give brainlist

Which equation represents a line that passes through the two points in the
table?

Answers

Answer:

C. y - 5= 5/3 ( x - 3 )

Step-by-step explanation:

I used a graphing calculator

Find the solution to the systems of equations using the elimination method.
2x + 3y = 11
5x + 3y = 14

Answers

Answer:

x=1

Step-by-step explanation:

-3x=-3

Use the information provided to write the equation of each parabola in vertex form and intercept form.

Answers

I think it’s B
Hopefully this helps!!

EXIT
A line passes through (-2,5) and has slope ś
1/3. What is an equation of the line in point-slope form?

Answers

Point slope: y - y1 = m(x - x1)
Plug in the points
Answer: y - 5 = 1/3(x + 2)

The area of a rectangle is represented by the expression 16m - 24. Which expression shows a factored version of the Area, one that shows the length and the width.
A | 8(2m+3)
B | 8(2+3m)
C | 8(2-3m)
D | 8(2m-3)

Answers

Answer:

The espression 8(2m - 3) shows the length and the width of the rectangle ⇒ D

Step-by-step explanation:

Let us find the greatest common factor of 16 and 24

∵ 16 = 1 × 16, 2 × 8, 4 × 4

∴ The factors of 16 are 1, 2, 4, 8, 16

∵ 24 = 1 × 24, 2 × 12, 3 × 8, 4 × 6

∴ The factors of 24 are 1, 2, 3, 4, 6, 8, 12, 24

→ Find the common factors of 16 and 24

∵ The common factor of 16 and 24 are 1, 2, 4, 8

∵ The greatest one is 8

The greatest common factor of 16 and 24 is 8

→ Take 8 as a common factor from 16m and 24

∵ 16m ÷ 8 = 2m

∵ 24 ÷ 8 = 3

∴ 16m - 24 = 8(2m - 3)

The espression 8(2m - 3) shows the length and the width of

   the rectangle

Translate the inequality and solve. Three times a number is less than or equal to six.​

Answers

Answer:

x ≤ 2

Step-by-step explanation:

We can write out the inequality as: 3(x) ≤ 6

You have to divide 3 from both sides, so x ≤ 6/3 which is x ≤ 2.

solve for x . Please help !

Answers

Answer:

x = 12.489996 ft

Step-by-step explanation:

In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.

The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.

Basically:

[tex]x^2 + y^2 = h^2[/tex]

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:

[tex]x^2 = h^2 - y^2[/tex]

[tex]x=\sqrt{h^2 - y^2}[/tex]

Then plug in the values:

[tex]x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996[/tex]

HELPPPPPPPPPP Lol thankd

Answers

Answer:

6 10

Step-by-step explanation:

Answer:

6, 10

Step-by-step explanation:

The first point is on 6, and ending at 10.

2 – Efetue:

a) (+7) . (- 5) b) (-9) . (- 8) c)(-15) : (+5) d) (+125) : (+25)

preciso disso pra agora

Answers

A) [tex]7x(-5)[/tex]

A multiplicação de um numero positivo por um numero negativo resulta em um numero negativo: [tex](+) x (-)=(-)[/tex]

[tex](7x5)[/tex]

Multiplique os valores

[tex]-35[/tex]

resposta para  A: [tex]-35[/tex]

B)[tex](-9)x(-8)[/tex]

A multiplicação dois números negativos resulta em um numero positivo : [tex](-)x(-)=(+)[/tex]

[tex]9 x 8[/tex]

Multiplique os valores

[tex]72[/tex]

Resposta para B :[tex]72[/tex]

C)[tex](-15) : 5[/tex]

A divisão de um numero negativo por um positivo resulta em um numero negativo: [tex](-):(+)=(-)[/tex]

[tex]-(15:5)[/tex]

Divida os números

[tex]-3[/tex]

Resposta para C: [tex]-3[/tex]

D) [tex]125 : 25[/tex]

Divida os números

[tex]5[/tex]

Resposta para D: [tex]5[/tex]

POR FAVOR ME MARCA BRAINLIEST

10 + 5xy
How do I work this out and what is the answer?

Answers

Answer:

5(2+xy)

Step-by-step explanation:

10+5xy

Factor out 5 from the expression

thus,the answer is 5(2+xy)

16an - 19an +8b +9an +12 b

Answers

Answer:

16an - 19an + 9an + 8b + 12b

6an + 20b

Answer:

6an+20b I believe

Step-by-step explanation:

Select the correct answer.
Which statement is true about the graphed cubic function?

Answers

Step-by-step explanation:

The cubic function passes the x-axis only once,

so there is 1 distinct real zeroes and 2 complex zeroes.

The function has only one real zero and two complex zeroes. Then the correct option is D.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The graph of the cubic function is shown.

The intersection of the curve with the x-axis is known as the zeroes of the function.

From the graph, the curve that cut the x-axis is only one point. Then the function has only one real zero and two complex zeroes.

Thus, the correct option is D.

More about the function link is given below.

https://brainly.com/question/5245372

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A chrome book cost 249.99 at target on Black Friday it is on sale for 15 % off what is the price of the computer on Black Friday

Answers

Answer:

The price is 212.49

Step-by-step explanation:

sorry if wrong.

Can somebody help me with this question, please? I have no idea how to do this or find the answer. :/ How many ways are there to choose a number from the set {−96, −48, −42, −36, −18, −14, −6, 14} that is divisible by either 6 or 8?

Answers

Answer:

28 different ways

Step-by-step explanation:

This is a combination question. Combination has to do with selection.

Total number of element in the set = 8

Number divisible by 6 or 8 are {-98, -48, -42, -36, -18, -6}

Total number divisible by 6 or 8 is 6

The number of ways we can choose 6 items from 8 is expressed as;

8C6 = 8!/(8-6)!6!

8C6 = 8!/(2)!6!

8C6 = 8*7*6!/2!6!

8C6 = 8*7/2

8C6 = 56/2

8C6 = 28 ways

Hence there are 28 different ways

What is the value of a if a is equal to a×a×a=a+a+a

Answers

Answer:

a = ±sqrt(3)

Step-by-step explanation:

a×a×a=a+a+a

Simplifying each side

a^3 = 3a

Divide each side by a

a^3 /a = 3a/a

a^2 = 3

Take the square root of each side

sqrt(a^2) = ±sqrt(3)

a = ±sqrt(3)

Answer:

nope its not equal

a×a×a=a³, but a+a+a=3a

so, a³≠3a

Step-by-step explanation:

i hope this helps....can i have brainliest

MERRY CHRISTMAS!!!......ENJOY UR HOLIDAY!!!

8. Identify the domain and range to the following relations and state whether or not the relations are functions. State why or why not the relation is a function.

Domain:

Range:

Is this a function? Yes or No? Explain your answer.​

Answers

Answer:

this is not a function because y-values repeat

Step-by-step explanation:

A culture of bacteria triples by the end of each hour. If there were initially 40 bacteria in a culture, how many bacteria should there be after 3 hours?

Answers

Answer:

There would be 1080 bacteria in the culture.

Step-by-step explanation:

Initial number of bacteria = 40

Given that

culture of bacteria triples by the end of each hour

Number of bacteria after 1 hour = 40*3 (multiplying initial number of bacteria by 3)

Number of bacteria after 1 hour = 120

number of bacteria after 2 hours = 3*Number of bacteria after 1 hour = 3*120

number of bacteria after 2 hours =360

number of bacteria after 3 hours = 3*Number of bacteria after 2 hour = 3*360 = 1080

Thus,

there would be 1080 bacteria in the culture.

Answer:

1080 bacteria

Step-by-step explanation:

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